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Finding the Fourth Proportional to 20,128.64, 27,776.22 and 11,176.13

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Solution

The fourth proportional to 20,128.64, 27,776.22 and 11,176.13 is: 15,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.64 : 27,776.22 = 11,176.13 : x
  2. Step 2: Convert to fraction form
    20,128.64/27,776.22 = 11,176.13/x
  3. Step 3: Cross multiply
    20,128.64x = 27,776.22 × 11,176.13
  4. Step 4: Simplify right side
    20,128.64x = 310,430,645.63
  5. Step 5: Solve for x
    x = 310,430,645.63/20,128.64
  6. Step 6: Final answer
    x = 15,422.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.